Reports on two types of unsolvability in mathematics. One is an instance of impossibility and the second is a judgment of undecidability. Presents a number of examples of undecidable propositions. (GS)

A method for finding any integral root of a number using a four-function calculator is given, along with a justification of the method and root-finding exercises. (MN)

Develops a general computer algorithm to obtain a magic square having a number of rows that is a multiple of four. Presents a BASIC program and sample runs. (YP)

Details are given of a simple computer program written in BASIC which calculates the sine of an angle through an application of DeMoivre's Theorem. The program is included in the material, and the program's success is discussed in terms of why the approximation works. (MP)

Presents an example from the combinatorial theory of partially ordered sets. Discusses algorithms of on-line antichain partitioning problems, a topic in discrete optimization. (YP)

This series of four text-workbooks was designed for tenth grade mathematics students who have exhibited lack of problem-solving skills. Electric desk calculators are to be used with the text. In the first five chapters of the series, students learn how to use the machine while reviewing basic operations with whole numbers, decimals, fractions, and…

The method used at airports in determining the cloud height at night is presented. Several problems, the equation used, and a simple design of an alidade (an instrument that shows cloud heights directly) are also included. (MP)

A method is presented for helping children make a smooth transition from using manipulative materials to using symbols only in solving multidigit addition problems. (MP)

A teaching sequence providing a smooth transition from concrete materials to the subtraction algorithm is presented. (MP)

The rule of 78 is used by banks and loan companies to compute the amounts due when installment loans are paid early. Describes an unexpected case of negative amortization when the rule is applied. Presents an actual problem and discusses the case. (YP)

Each of the hand-held calculator logic systems found on the market today is introduced, along with some of the advantages and disadvantages of each. The systems reviewed are: arithmetic logic, algebraic logic-no hierarchy, algebraic operating system, and reverse polish notation. (MP)

Presents an easy method for constructing magic squares from three-by-three to general squares. Provides a computer program generating odd-order magic squares. Six references are listed. (YP)

The term Chisanbop is the trademark for the finger calculation method originally developed by a Korean, Sung Jin Pai. It was refined and simplified by his son, Hang Young Pai, who introduced the technique to the United States in 1976. This annotated bibliography has been organized in five categories. Readings in the first category, Historical…

INSTRUCTIONAL MATERIALS IN MATHEMATICS WERE DEVELOPED ACCORDING TO DESIRED BEHAVIORAL OUTCOMES AND DEMONSTRATED AT A SUMMER, INSERVICE TEACHER EDUCATION PROGRAM. PROJECT STAFF MEMBERS WERE PRESENTED WITH AN AUDIOVISUAL AND SUPPLEMENTAL READING PROGRAM TO ORIENT THEM TO A BEHAVIORAL OUTCOME APPROACH TO INSTRUCTION. BEFORE THE INSTRUCTIONAL…

Use of the hand-dialed, transparent, nonelectronic SEE-Calculator is proposed. Pupils can dial numbers into appropriate columns, watching the gears work; place-value concepts are enhanced. Both activities and flowcharting are suggested. (MNS)